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Simplifying 2x2 + -5ax + 3a2 = 0 Reorder the terms: -5ax + 3a2 + 2x2 = 0 Solving -5ax + 3a2 + 2x2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -1x)(3a + -2x) = 0Subproblem 1
Set the factor '(a + -1x)' equal to zero and attempt to solve: Simplifying a + -1x = 0 Solving a + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. a + -1x + x = 0 + x Combine like terms: -1x + x = 0 a + 0 = 0 + x a = 0 + x Remove the zero: a = x Simplifying a = xSubproblem 2
Set the factor '(3a + -2x)' equal to zero and attempt to solve: Simplifying 3a + -2x = 0 Solving 3a + -2x = 0 Move all terms containing a to the left, all other terms to the right. Add '2x' to each side of the equation. 3a + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 3a + 0 = 0 + 2x 3a = 0 + 2x Remove the zero: 3a = 2x Divide each side by '3'. a = 0.6666666667x Simplifying a = 0.6666666667xSolution
a = {x, 0.6666666667x}
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